Show that the relation R defined on the set A of a polygons as R = `{P_(1),P_(2) : P_(1) "and " P_(2)` have same number of sides } is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3,4 and 5 ?

Show that the relation R ,defined on the set A of all polygons as R={(P_(1),P_(2)):P_(1) and P_(2) have same number of sides } ,is an equivalence relation.What is the sides all elements in A related to the right angle triangle T with sides 3,4 and 5?

Show that the relation R in the set A of all the books in a library of a college,given by R={(x,y):x and y have same number of pages } is an equivalence relation.

Show that the relation R on the set A of all the books in a library of a college given by R={(x,y):x and y have the same number of pages }, is an equivalence relation.

Show that the relation R defined in the set A of all triangles as R={(T_(1),T_(2)):T_(1) is similar to T_(2) }, is equivalence relation.

Show that the relation R defined on the set A of all triangles in a plane as R={(T_(1),T_(2)):T_(1) is similar to T_(2) ) is an equivalence relation.Consider three right angle triangle T_(1) with sides 3,4,5;T_(2),10. sides 5,12,13 and T_(3) with sides 6,8,10. Which triangles among T_(1),T_(2) and T_(3) are related?

The maximum number of equivalence relations can be defined on the set A={1,2,3} are

Show that the relation R on the set A={x in Z:0<=x<=12}, given by R={(a,b):|a-b| is a multiple of 4} is an equivalence relation.Find the set of all elements related to 1 i.e.equivalence class [1]

Show that the relation R in the set A={x: x in N,x <=10} given by R={(a, b):a+ b is even number] is an equivalence relation. Also find the set of all elements related to 3

Show that the relation R on the set A{x in Z;0<=12}, given by R={(a,b):a=b}, is an equivalence relation.Find the set of all elements related to 1.